Find the value of x, the slant height of the regular pyramid. Round your answer to the nearest hundredth, if necessary.

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Liula [17]

Answer:

After 25 years the population will be:

Australia: 22271200
China: 1580220878
Mexico: 157380127
Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

P(t) = P₀eʳᵗ

t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.

P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.

P₀ is the initial population at P(0)
r is the growth rate. Don't forget to convert the percentage to its decimal form

Now that everything is set out, lets use the equation to solve for our answer.

P(t) = P₀eʳᵗ

Australia:

$P(t)=(19169000)e^{(0.006)t}$

after 25 years

$P(25)=(19169000)e^{(0.006)(25)}=22271200.6$

China:

$P(t) = (1261832000)e^{(.009)t}$

after 25 years:

$P(25)=(1261832000)e^{(.009)(25)}=1580220878$

Mexico:

$P(t) = (100350000)e^{(0.018)t}$

after 25 years:

$P(25)=(100350000)e^{(0.018)(25)}=157380127.8$

Zaire:

$P(t) = (51965000)e^{(0.031)t}$

after 25 years:

$P(25)=(51965000)e^{(0.031)(25)}=112794819.9$

6 0

4 years ago

bag contains 15 marbles numbered from 1 to 15. Two marbles are selected from the bag at the same time. Let event E = the two num

lbvjy [14]

The numbers DO differ by 10 if they are

- 1 and 11
- 2 and 12
- 3 and 13
- 4 and 14
- 5 and 15

Each outcome technically has two ways of occurring, but since we're taking two marbles at a time, that would be the same as saying, for instance, that drawing 1 and 11 is the same as drawing 11 and 1. We only count such an event once.

So the answer is (a) 5.

7 0

3 years ago

Read 2 more answers

Hank spend 76% of his monthly salary and saves $270 find his monthly salary

Dimas [21]

Answer:

f $270= the remaining 24% then you want to do 270/24=11.25 Then you want to multiply that by 76 and you will get $855

So $270+$855=24%+76% So his monthly salary was $1,125

If you are still confused do it in reverse! 1,125/100=11.25

11.25•24=270 & 11.25•76=855

270+855=1,125

Step-by-step explanation:

the guy below copied me

4 0

2 years ago

Humans breathe about 15 breaths in a minute. The average

NeX [460]

Answer:

Humans breathe about 300 liters of air in 25 minutes

7 0

3 years ago

PLEASE HELP ME!!!!!!! SEE BOTH PICTURES!!!!

Natali [406]

I think both answers are C.

(-8,-4) and (-5,-2)

other one

Fix the compass at points P and T

3 0

3 years ago